Legendrian non-simple Whitehead doubles of the trefoil

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2026-05-06 DOI:10.1007/s10474-026-01600-3

Saliha Kivanç

引用次数: 0

Abstract

Ozsváth and Stipsicz showed that some Eliashberg–Chekanov twist knots, which are Whitehead doubles of the unknot, are not Legendrian simple. We extend their result by considering some Whitehead doubles of the trefoil: Using properties of knot Floer homology and the distinguished surgery triangle, we show that this family of knots is Legendrian non-simple in the standard contact 3-sphere.

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传说中的非简单白头双三叶草

Ozsváth和Stipsicz表明，一些Eliashberg-Chekanov捻结，这是解开结的Whitehead double，不是Legendrian简单。利用结花同调性和特殊手术三角形的性质，我们证明了这类结在标准接触3球上是Legendrian非简单的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.